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28993044031632 = 24331091438742797
BaseRepresentation
bin1101001011110011110000…
…00101110010100010010000
310210122201010002101112021000
412211321320011302202100
512300010223233003012
6141355115350102000
76051451442030052
oct645717005624220
9123581102345230
1028993044031632
11926897656617a
12330306794a900
1313240560163c5
147233b11a98d2
15354297a44ddc
hex1a5e78172890

28993044031632 has 160 divisors (see below), whose sum is σ = 83992067913600. Its totient is φ = 9574794957312.

The previous prime is 28993044031619. The next prime is 28993044031681. The reversal of 28993044031632 is 23613044039982.

28993044031632 is a `hidden beast` number, since 2 + 8 + 9 + 9 + 30 + 440 + 3 + 163 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677433658 + ... + 677476454.

It is an arithmetic number, because the mean of its divisors is an integer number (524950424460).

Almost surely, 228993044031632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28993044031632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41996033956800).

28993044031632 is an abundant number, since it is smaller than the sum of its proper divisors (54999023881968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28993044031632 is a wasteful number, since it uses less digits than its factorization.

28993044031632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57310 (or 57298 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 28993044031632 in words is "twenty-eight trillion, nine hundred ninety-three billion, forty-four million, thirty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 109 144 216 218 327 432 436 654 872 981 1308 1744 1962 2616 2943 3924 5232 5886 7848 11772 14387 15696 23544 28774 42797 43161 47088 57548 85594 86322 115096 128391 129483 171188 172644 230192 256782 258966 342376 345288 385173 388449 513564 517932 684752 690576 770346 776898 1027128 1035864 1155519 1540692 1553796 1568183 2054256 2071728 2311038 3081384 3107592 3136366 4622076 4664873 4704549 6162768 6215184 6272732 9244152 9329746 9409098 12545464 13994619 14113647 18488304 18659492 18818196 25090928 27989238 28227294 37318984 37636392 41983857 42340941 55978476 56454588 74637968 75272784 83967714 84681882 111956952 112909176 125951571 167935428 169363764 223913904 225818352 251903142 335870856 338727528 503806284 615720439 671741712 677455056 1007612568 1231440878 1847161317 2015225136 2462881756 3694322634 4925763512 5541483951 7388645268 9851527024 11082967902 14777290536 16624451853 22165935804 29554581072 33248903706 44331871608 66497807412 67113527851 88663743216 132995614824 134227055702 201340583553 265991229648 268454111404 402681167106 536908222808 604021750659 805362334212 1073816445616 1208043501318 1610724668424 1812065251977 2416087002636 3221449336848 3624130503954 4832174005272 7248261007908 9664348010544 14496522015816 28993044031632